A+ CATEGORY SCIENTIFIC UNIT

Bump conditions and two-weight inequalities for commutators of fractional integrals

Yongming Wen, Huoxiong Wu Colloquium Mathematicum MSC: Primary 42B20; Secondary 42B25, 42B35, 47B47. DOI: 10.4064/cm8703-4-2022 Published online: 8 September 2022

Abstract

This paper gives new two-weight bump conditions for sparse operators related to iterated commutators of fractional integrals. As applications, two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Necessary two-weight bump conditions including the converse of Bloom type estimates for iterated commutators of fractional integrals are also studied.

Authors

  • Yongming WenSchool of Mathematics and Statistics
    Minnan Normal University
    363000 Zhangzhou, China
    e-mail
  • Huoxiong WuSchool of Mathematical Sciences
    Xiamen University
    361005 Xiamen, China
    e-mail

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